Pré-Publication, Document De Travail Année : 2004

Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others

Résumé

We prove that the spectrum of a Schrödinger operator that is periodic in certain directions and super-exponentially decaying in the others is purely absolutely continuous.

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Dates et versions

hal-00001120 , version 1 (06-02-2004)
hal-00001120 , version 2 (09-04-2004)

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Nikolai Filonov, Frédéric Klopp. Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others. 2004. ⟨hal-00001120v2⟩
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